Current Advances in Mathematical Modeling of Anti-Cancer Drug Penetration into Tumor Tissues

Delivery of anti-cancer drugs to tumor tissues, including their interstitial transport and cellular uptake, is a complex process involving various biochemical, mechanical, and biophysical factors. Mathematical modeling provides a means through which to understand this complexity better, as well as to examine interactions between contributing components in a systematic way via computational simu...

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Mathematical Modeling and Lyapunov-Based Drug Administration in Cancer Chemotherapy

In this paper a new mathematical model is developed for the dynamics between tumor cells, normal cells, immune cells, chemotherapy drug concentration and drug toxicity. Then, the theorem of Lyapunov stability is applied to design treatment strategies for drug protocols that ensure a desired rate of tumor cell kill and push the system to the area with smaller tumor cells. Using of this theorem a...

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Antibiotic penetration into lung tissues

Effective antibiotic treatment for lung infections requires an amount of drug at the site of infection sufficient to achieve or exceed the minimum inhibitory concentration (MIC) for that antibiotic against the pathogen. Recent developments in methodology have enabled concentrations of many antibiotics to be measured in small samples of tissue. The two main assay techniques are either a microbio...

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Antibiotic penetration into lung tissues

Effective antibiotic treatment for lung infections requires an amount of drug at the site of infection sufficient to achieve or exceed the minimum inhibitory concentration (MIC) for that antibiotic against the pathogen. Recent developments in methodology have enabled concentrations of many antibiotics to be measured in small samples of tissue. The two main assay techniques are either a microbio...

متن کامل

Antibiotic penetration into lung tissues

Effective antibiotic treatment for lung infections requires an amount of drug at the site of infection sufficient to achieve or exceed the minimum inhibitory concentration (MIC) for that antibiotic against the pathogen. Recent developments in methodology have enabled concentrations of many antibiotics to be measured in small samples of tissue. The two main assay techniques are either a microbio...

متن کامل

Current Advances in Mathematical Modeling of Anti-Cancer Drug Penetration into Tumor Tissues

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